What is the Least Common Multiple of 78126 and 78143?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 78126 and 78143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78126 and 78143, than apply into the LCM equation.

GCF(78126,78143) = 1
LCM(78126,78143) = ( 78126 × 78143) / 1
LCM(78126,78143) = 6105000018 / 1
LCM(78126,78143) = 6105000018

Least Common Multiple (LCM) of 78126 and 78143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78126 and 78143. First we will calculate the prime factors of 78126 and 78143.

Prime Factorization of 78126

Prime Factorization of 78143

Now multiplying the highest exponent prime factors to calculate the LCM of 78126 and 78143.

LCM(78126,78143) = 2¹ × 3¹ × 29¹ × 449¹ × 13¹ × 6011¹
LCM(78126,78143) = 6105000018